Numerical solutions of Burgers’ equation with random initial conditions using the Wiener chaos expansion and the Lax–Wendroff scheme
نویسندگان
چکیده
منابع مشابه
Optimal Control of Stochastic Burgers’ Equation with Random Forcing Using Weiner Chaos Expansion
Introduction . Control of nonlinear stochastic partial differential equations (SPDEs) has acquired significant attention in recent years. But due to the nonlinearity and randomness of the system, such problem is very challenging and difficult to handle. A typical example in this field is the control of stochastic Burgers’ equations (SBEs) with random forcing, which is presented in [2] as a step...
متن کاملBurgers Equation with Random Boundary Conditions
We prove an existence and uniqueness theorem for stationary solutions of the inviscid Burgers equation on a segment with random boundary conditions. We also prove exponential convergence to the stationary distribution.
متن کاملRandom Periodic Solutions of Stochastic Burgers Equation
The dynamics of randomly forced Burgers and Euler-Lagrange equations in S 1 × R d−1 in the case when there is only one one-sided minimizer in a compact subset of S 1 × R d−1 is studied. The existence of random invariant periodic minimizer orbits and periodicity of the stationary solution of the stochastic Burgers equations are obtained.
متن کاملthe evaluation of language related engagment and task related engagment with the purpose of investigating the effect of metatalk and task typology
abstract while task-based instruction is considered as the most effective way to learn a language in the related literature, it is oversimplified on various grounds. different variables may affect how students are engaged with not only the language but also with the task itself. the present study was conducted to investigate language and task related engagement on the basis of the task typolog...
15 صفحه اولConnecting the dots: Semi-analytical and random walk numerical solutions of the diffusion-reaction equation with stochastic initial conditions
Article history: Received 2 April 2013 Received in revised form 17 November 2013 Accepted 13 January 2014 Available online 21 January 2014
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Applied Mathematics Letters
سال: 2007
ISSN: 0893-9659
DOI: 10.1016/j.aml.2006.07.001